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Finding the Third Proportional to 53,820 and 118,332

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Solution

The third proportional to 53,820 and 118,332 is: 260,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820 : 118,332 = 118,332 : x
  2. Step 2: Convert to fraction form
    53,820/118,332 = 118,332/x
  3. Step 3: Cross multiply
    53,820x = 118,332 × 118,332
  4. Step 4: Simplify right side
    53,820x = 14,002,462,224
  5. Step 5: Solve for x
    x = 14,002,462,224/53,820
  6. Step 6: Final answer
    x = 260,172.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.